GATE AE topic:solid-mechanics PYQs & Answers

Questions 1–10 of 68. Imported answers require independent review unless marked reviewed.

The number of independent elastic constants that a fully anisotropic linear elastic material can have is ______.

Your answerChoose one option.

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The state of stress at a point in a 2-D body, in the x-y Cartesian coordinate system, is represented in matrix form as

. The transformation matrix

rotates the coordinate system to a new x'-y' Cartesian coordinate system. Select the CORRECT option(s) that represent(s) the state of stress in the new coordinate system.

Your answerSelect all correct options. You can choose more than one.

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Consider a unit square body as shown in the figure below. The body is subjected to the deformation field

and

, where ‘a’ is a constant. Due to the application of this deformation field, the body undergoes ______ in the x-y plane.

Diagram for Aerospace Engineering question 40

Your answerChoose one option.

biaxial deformation

pure shear

pure bending

rigid body rotation

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The deformation of an open-section bar subjected to pure torsion can be solved by choosing an appropriate Prandtl stress function. Which of the following statements is/are true about the Prandtl stress function?

Your answerSelect all correct options. You can choose more than one.

It satisfies the equilibrium equation

It is zero on the lateral surfaces of the bar

It satisfies the compatibility equation

It does not satisfy the equilibrium equation

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A thin-walled circular tube is made of a material whose magnitude of the ultimate strength, both in tension and compression, is 200 MPa. The mean radius of the tube is 0.2 m and the wall thickness is 0.004 m. Based on the maximum stress criteria, the maximum torque that the tube can sustain is ________ kN-m (round off to the nearest integer).

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A stepped cantilever beam, made of a material having Young’s modulus

GPa, is shown in the figure below. The length and the moment of inertia of the beam from point A to B are

mm and

, respectively. The length and the moment of inertia of the beam from point B to C are

mm and

, respectively. A shear force

N is applied at point A of the beam. The magnitude of the deflection of the beam at point A is ________ mm (rounded off to 1 decimal place).

Diagram for Aerospace Engineering question 60

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For a homogeneous, isotropic material, the relation between the shear modulus (

), Young’s modulus (

), and Poisson’s ratio (

) is ____.

Your answerChoose one option.

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A simply supported horizontal beam is subjected to a distributed transverse load varying linearly from

at A to zero at B, as shown in the figure. Which one of the following options is correct?

Diagram for Aerospace Engineering question 27

Your answerChoose one option.

The magnitude of the vertical reaction force at A is larger than that at B.

The magnitude of the vertical reaction force at B is larger than that at A.

The magnitudes of the vertical reaction forces at A and B are equal.

The reactions at points A and B are indeterminate.

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A stress field is given by

;

, where

and

are non-zero constants. If the stress field satisfies equilibrium, which one of the following options is correct?

Your answerChoose one option.

There is no body force per unit volume.

There is a constant body force per unit volume in the y-direction.

The body force per unit volume varies linearly in the y-direction.

The direction of the body force per unit volume depends on the value of

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A uniform symmetric cross-section cantilever beam of length

is subjected to a transverse force

at the free end, as shown in the figure. The Young’s modulus of the material is

and the moment of inertia is

. Ignoring the contributions due to transverse shear, the strain energy stored in the beam is ____.

Diagram for Aerospace Engineering question 29

Your answerChoose one option.

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GATE AE topic:solid-mechanics PYQs

How to practice topic:solid-mechanics

Question 16

Question 26

Question 40

Question 45

Question 58

Question 60

Question 26

Question 27

Question 28

Question 29